To differentiate the function with respect to , we can use the product rule. The product rule states that if you have a function of the form , the derivative is given by:

In this case, let and . We need to find their derivatives:

1. (using the power rule).

2. We can find using the chain rule. The chain rule states that if you have a composite function, such as , the derivative of with respect to is given by:

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This answer was edited.Let and

To differentiate the function with respect to , we can use the product rule. The product rule states that if you have a function of the form , the derivative is given by:

In this case, let and . We need to find their derivatives:

1. (using the power rule).

2. We can find using the chain rule. The chain rule states that if you have a composite function, such as , the derivative of with respect to is given by:

To find , let , so :

Now, we need to find :

Now, we can compute :

Now, apply the product rule to find :

Now, simplify this expression:

So, the derivative of with respect to is: